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Toothpaste brands with the ADA seal. Consumer Reports
Chapter 7, Problem 73E(choose chapter or problem)
Toothpaste brands with the ADA seal. Consumer Reports evaluated and rated 46 brands of toothpaste. One attribute examined in the study was whether or not a toothpaste brand carries an American Dental Association (ADA) seal verifying effective decay prevention. The data for the 46 brands (coded 1 = ADA seal, 0 = no ADA seal) are listed here.
a. Give the null and alternative hypotheses for testing whether the true proportion of toothpaste brands with the ADA seal verifying effective decay prevention is less than .5.
b. Locate the p-value on the Minitab printout below.
c. Make the appropriate conclusion using \(\alpha = .10\).
Text Transcription:
alpha = .10
Questions & Answers
QUESTION:
Toothpaste brands with the ADA seal. Consumer Reports evaluated and rated 46 brands of toothpaste. One attribute examined in the study was whether or not a toothpaste brand carries an American Dental Association (ADA) seal verifying effective decay prevention. The data for the 46 brands (coded 1 = ADA seal, 0 = no ADA seal) are listed here.
a. Give the null and alternative hypotheses for testing whether the true proportion of toothpaste brands with the ADA seal verifying effective decay prevention is less than .5.
b. Locate the p-value on the Minitab printout below.
c. Make the appropriate conclusion using \(\alpha = .10\).
Text Transcription:
alpha = .10
ANSWER:Solution
Step 1 of 3
a) We have to write the null and alternative hypothesis for the test
Here the claim is that the true proportion of the tooth paste brands with ADA seal verifying effective decay prevention is less than 0.5
The null hypothesis
The alternative hypothesis (Left tailed test )